It's very common in non-violent misdemeanor cases however it will not apply to a CCW for a convicted felon.
NYS PL Section 400.00 Licenses to carry, possess, repair and dispose of firearms.
1. Eligibility. No license shall be issued or renewed pursuant to this section except by the licensing officer, and then only after investigation and finding that all statements in a proper application for a license are true. No license shall be issued or renewed except for an applicant of good moral character who has not been convicted anywhere of a felony or serious offense.
NYS PL Section 265.01 Criminal possession of a weapon in the fourth degree
A person is guilty of criminal possession of a weapon in the fourth degree when (4) He possesses a rifle or shotgun and has been convicted of a felony or serious offense.
NYS PL Section 265.20 Exemptions
a. Sections 265.01, 265.02, 265.03, 265.04, 265.05, 265.10, 265.11, 265.12, 265.13, 265.15 and 270.05 shall not apply to:
5. Possession of a rifle or shotgun by a person who has been convicted as specified in subdivision four of section 265.01 to whom a certificate of good conduct has been issued pursuant to section seven hundred three-b of the correction law.